The fix is simple when you catch it early: a booster, then a new copy of the record.
Count to the last day, not the first
Take the date of pick-up and compare it with the expiration date on each certificate. For a dog that means rabies, distemper/parvo and Bordetella. Canine influenza is recommended but not required. For a cat it means rabies and FVRCP. If every date falls after the day you plan to leave, the records pass. If one falls inside the stay, that vaccine needs to be renewed before you arrive.
The vaccine that trips people up
Bordetella and canine influenza have shorter cycles than rabies, so they are the ones that most often come due between booking and travel. Canine influenza is recommended rather than required; a dog that has it is accepted after the first dose, with the booster due three to four weeks later and then every year. If your dog is on the initial two-dose series, do not skip the second dose, because the booster date is part of the record.
Why the kennel is strict about it
Dogs and cats at the kennel share a property with other pets, and boarding is a place where respiratory illness can pass from one animal to another. Current vaccines are part of keeping the whole kennel healthy. The agreement owners sign also notes that even a fully vaccinated pet can catch a contagious illness, which is why the records are one layer of care and not the only one.
What to do if a date is close
Call your veterinarian and ask for the booster before your trip. Then send the updated record through ProPetware, by email, or in person. The timing page explains how far ahead to vaccinate, and the vaccine readiness checker lets you test your dates against a stay.